A family of complex nilmanifolds with infinitely many real homotopy types

Latorre Larrodé, Adela ; Ugarte Vilumbrales, Luis (Universidad de Zaragoza) ; Villacampa Gutiérrez, Raquel

Resumen: We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga , with a ¿ [0, 8), of real dimension eight with (strongly non-nilpotent) complex structures. By restricting a to take rational values, we arrive at the existence of in nitely many real homotopy types of 8-dimensional nilmanifolds admitting a complex structure. Moreover, balanced Hermitian metrics and generalized Gauduchon metrics on such nilmanifolds are constructed.

Idioma: Inglés

DOI: 10.1515/coma-2018-0004

Año: 2018

Publicado en: Complex Manifolds 5 (2018), 89-102
ISSN: 2300-7443

Factor impacto SCIMAGO: 0.643 - Geometry and Topology (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2014-58616-P

Tipo y forma: Article (Published version)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)